What are the asymptotes for $f (x) = [\frac{5 x + 3}{2 x - 3}] + 1$ $f(x)=[(5x+3)/(2x-3)]+1$ ?

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What are the asymptotes for $f (x) = [\frac{5 x + 3}{2 x - 3}] + 1$ $f(x)=[(5x+3)/(2x-3)]+1$ ?

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Answer 1 · 2018-03-02T02:19:48

$\frac{3}{2}$ $3/2$

Explanation:

You have to ask yourself: what does X have to be for the function to be dividing by 0?

$2 x - 3 = 0$ $2x-3=0$
$2 x = 3$ $2x=3$
$x = \frac{3}{2}$ $x=3/2$

So when $x$ $x$ is $\frac{3}{2}$ $3/2$ , The function will contain a divide by zero error, and that is the asymptote. The " $+ 1$ $+1$ " at the end will not affect this, but will to the roots/zeros/x-intercepts.

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What are the asymptotes for $f (x) = [\frac{5 x + 3}{2 x - 3}] + 1$ $f(x)=[(5x+3)/(2x-3)]+1$ ?

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Explanation:

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What are the asymptotes for $f (x) = [\frac{5 x + 3}{2 x - 3}] + 1$ $f(x)=[(5x+3)/(2x-3)]+1$ ?